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Rough ideals in lattices

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Abstract

In this paper, we consider a relationship between rough sets and lattice theory. The related properties of rough subsets of lattices are investigated. We introduce the notion of rough ideals which is a generalized notion of ideals of a lattice, and some properties and homomorphism of such ideals are discussed.

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Acknowledgments

This work is supported by the National Science Foundation of China (No. 11071061) and the National Basic Research Program (No. 2011CB311808), Educational Commission of Hunan Province, China (No. 11C0051).

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Authors and Affiliations

  1. College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, People’s Republic of China

    Qimei Xiao, Qingguo Li & Xiangnan Zhou

  2. School of Mathematics and Computer Science, Changsha University of Science and Technology, Changsha, 410004, Hunan, People’s Republic of China

    Qimei Xiao

Authors
  1. Qimei Xiao
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  2. Qingguo Li
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  3. Xiangnan Zhou
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Correspondence to Qingguo Li.

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Xiao, Q., Li, Q. & Zhou, X. Rough ideals in lattices. Neural Comput & Applic 21 (Suppl 1), 245–253 (2012). https://doi.org/10.1007/s00521-011-0801-5

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  • DOI: https://doi.org/10.1007/s00521-011-0801-5

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